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113711310397440 = 2133457231931103
BaseRepresentation
bin11001110110101101111010…
…010000110110000000000000
3112220121200202201211011210000
4121312231322100312000000
5104401021230430204230
61041502131013440000
732644241163426060
oct3166557220660000
9486550681734700
10113711310397440
11332607722a9568
121090601b940000
134b5ac13594152
14201192a32b3a0
15d22d5ae62b60
hex676b7a436000

113711310397440 has 2240 divisors, whose sum is σ = 489104979111936. Its totient is φ = 24709869600768.

The previous prime is 113711310397423. The next prime is 113711310397469. The reversal of 113711310397440 is 44793013117311.

113711310397440 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 1 + 13 + 103 + 97 + 440 = 666.

113711310397440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×1137113103974402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 103092755929 + ... + 103092757031.

Almost surely, 2113711310397440 is an apocalyptic number.

113711310397440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113711310397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244552489555968).

113711310397440 is an abundant number, since it is smaller than the sum of its proper divisors (375393668714496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113711310397440 is a wasteful number, since it uses less digits than its factorization.

113711310397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 113711310397440 in words is "one hundred thirteen trillion, seven hundred eleven billion, three hundred ten million, three hundred ninety-seven thousand, four hundred forty".